Theorems · Definition · global analysis
IsManifold.maximalAtlas
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_2} →
[inst_1 : NormedAddCommGroup E] →
[inst_2 : NormedSpace 𝕜 E] →
{H : Type u_3} →
[inst_3 : TopologicalSpace H] →
ModelWithCorners 𝕜 E H →
WithTop ℕ∞ →
(M : Type u_4) → [inst : TopologicalSpace M] → [ChartedSpace H M] → Set (OpenPartialHomeomorph M H)The maximal atlas of M for the C^n manifold with corners structure corresponding to the
model with corners I.
- Cited by
- 65 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- OpenPartialHomeomorphstatement · cited by 664
- contDiffGroupoidproof · cited by 28
- StructureGroupoid.maximalAtlasproof · cited by 28
Cited by70
Results whose statement or proof uses this declaration.
- IsManifold.chart_mem_maximalAtlasstatement · cited by 24
- ModelWithCorners.contDiffOn_extendCoordChangestatement and proof · cited by 7
- Manifold.IsImmersionAtOfComplement.mk_of_continuousAtstatement and proof · cited by 7
- IsManifold.subset_maximalAtlasstatement · cited by 6
- Manifold.LiftSourceTargetPropertyAt.codChart_mem_maximalAtlasstatement · cited by 5
- Manifold.LiftSourceTargetPropertyAt.domChart_mem_maximalAtlasstatement · cited by 5
- contMDiffOn_symm_of_mem_maximalAtlasstatement and proof · cited by 5
- contMDiffAt_of_mem_maximalAtlasstatement and proof · cited by 4
- contMDiffOn_of_mem_maximalAtlasstatement and proof · cited by 4
- contMDiffWithinAt_iff_of_mem_maximalAtlasstatement and proof · cited by 4
- Manifold.IsImmersionAtOfComplement.domChart_mem_maximalAtlasstatement · cited by 4
- ModelWithCorners.contDiffWithinAt_extendCoordChangestatement and proof · cited by 3